Barbara had $495 less than Warren. Warren spent 0.8 of his money and Barbara spent 0.2 of her money. In the end, Warren and Barbara had the same amount of money left. Find the amount of money Barbara had at first.

	Barbara	Warren	Difference
Before	5 u	20 u	15 u
Change	- 1 u	- 4 u
After	4 u	4 u

0.8 = ⁴₅

Fraction of Warren's amount left
= 1 - ⁴₅
= ¹₅

0.2 = ¹₅

Fraction of Barbara's amount left
= 1 - ¹₅
= ⁴₅

The amount that Warren and Barbara each had in the end is the same. Make the numerators the same. LCM of 1 and 4 is 4.

¹₅ of Warren's amount = ⁴₅ of Barbara's amount
⁴₂₀ of Warren's amount = ⁴₅ of Barbara's amount

Amount that Barbara had less than Warren
= 20 u - 5 u
= 15 u

15 u = 495

1 u = 495 ÷ 15 = 33

Amount that Barbara had at first
= 5 u
= 5 x 33
= $165

Answer(s): $165